Research Article

Classification of three-dimensional isopotent algebras

Volume: 33 Number: 33 January 9, 2023
  • Anton Cedılnık *
International Electronic Journal of Algebra Cover
International Electronic Journal of Algebra
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Classification of three-dimensional isopotent algebras

Abstract

In the article, we perform a classification of algebras with dimensions $\leq$ 3 and with the property that each element is colinear with its square. The classification is complete up to properties of the ground field.

Keywords

References

  1. A. Cedilnik, Subassociative algebras, Acta Math. Univ. Comenian., 66(2) (1997), 229-241.
  2. A. Cedilnik and M. Jerman , Classification of three-dimensional zeropotent algebras, Int. Electron. J. Algebra, 27 (2020), 127-146.
  3. R. Lidl and H. Niederreiter, Finite Fields, Encyclopedia of Mathematics and its Applications, 20, Cambridge University Press, Cambridge, 1997.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Anton Cedılnık * This is me
Slovenia

Publication Date

January 9, 2023

Submission Date

September 8, 2022

Acceptance Date

November 17, 2022

Published in Issue

Year 2023 Volume: 33 Number: 33

DOI

https://doi.org/10.24330/ieja.1217445

IZ

https://izlik.org/JA48XW36KS

Cite

RIS / Bibtex
APA
Cedılnık, A. (2023). Classification of three-dimensional isopotent algebras. International Electronic Journal of Algebra, 33(33), 226-246. https://doi.org/10.24330/ieja.1217445
AMA
1.Cedılnık A. Classification of three-dimensional isopotent algebras. IEJA. 2023;33(33):226-246. doi:10.24330/ieja.1217445
Chicago
Cedılnık, Anton. 2023. “Classification of Three-Dimensional Isopotent Algebras”. International Electronic Journal of Algebra 33 (33): 226-46. https://doi.org/10.24330/ieja.1217445.
EndNote
Cedılnık A (January 1, 2023) Classification of three-dimensional isopotent algebras. International Electronic Journal of Algebra 33 33 226–246.
IEEE
[1]A. Cedılnık, “Classification of three-dimensional isopotent algebras”, IEJA, vol. 33, no. 33, pp. 226–246, Jan. 2023, doi: 10.24330/ieja.1217445.
ISNAD
Cedılnık, Anton. “Classification of Three-Dimensional Isopotent Algebras”. International Electronic Journal of Algebra 33/33 (January 1, 2023): 226-246. https://doi.org/10.24330/ieja.1217445.
JAMA
1.Cedılnık A. Classification of three-dimensional isopotent algebras. IEJA. 2023;33:226–246.
MLA
Cedılnık, Anton. “Classification of Three-Dimensional Isopotent Algebras”. International Electronic Journal of Algebra, vol. 33, no. 33, Jan. 2023, pp. 226-4, doi:10.24330/ieja.1217445.
Vancouver
1.Anton Cedılnık. Classification of three-dimensional isopotent algebras. IEJA. 2023 Jan. 1;33(33):226-4. doi:10.24330/ieja.1217445